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Finding the Fourth Proportional to 492.99, 736.14 and 441.05

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Solution

The fourth proportional to 492.99, 736.14 and 441.05 is: 658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.99 : 736.14 = 441.05 : x
  2. Step 2: Convert to fraction form
    492.99/736.14 = 441.05/x
  3. Step 3: Cross multiply
    492.99x = 736.14 × 441.05
  4. Step 4: Simplify right side
    492.99x = 324,670.04
  5. Step 5: Solve for x
    x = 324,670.04/492.99
  6. Step 6: Final answer
    x = 658.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.